Question

question 9.
what is the length, in units, of c on the graph below?

Explanation:

Step1: Find the horizontal and vertical distances

The two points are \((-3,1)\) and \((1,-2)\).
The horizontal distance \(a=\vert1 - (-3)\vert=\vert1 + 3\vert = 4\).
The vertical distance \(b=\vert-2 - 1\vert=\vert-3\vert = 3\).

Step2: Use the Pythagorean theorem

By the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\).
Substitute \(a = 4\) and \(b = 3\) into the formula: \(c=\sqrt{4^{2}+3^{2}}=\sqrt{16 + 9}=\sqrt{25}\).

Answer:

\(5\)